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1137931218 = 23279512
BaseRepresentation
bin100001111010011…
…0111001111010010
32221022012220011200
41003310313033102
54312302244333
6304525452030
740125153504
oct10364671722
92838186150
101137931218
11534372626
12279111016
131519a19a8
14ab1b3d74
1569d79c13
hex43d373d2

1137931218 has 18 divisors (see below), whose sum is σ = 2465827767. Its totient is φ = 379262700.

The previous prime is 1137931213. The next prime is 1137931309. The reversal of 1137931218 is 8121397311.

It can be written as a sum of positive squares in only one way, i.e., 568965609 + 568965609 = 23853^2 + 23853^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=23853.

It is not an unprimeable number, because it can be changed into a prime (1137931213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 139143 + ... + 147093.

Almost surely, 21137931218 is an apocalyptic number.

1137931218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1137931218 is an abundant number, since it is smaller than the sum of its proper divisors (1327896549).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1137931218 is an frugal number, since it uses more digits than its factorization.

1137931218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15910 (or 7956 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 1137931218 is about 33733.2361032854. The cubic root of 1137931218 is about 1044.0116317460.

The spelling of 1137931218 in words is "one billion, one hundred thirty-seven million, nine hundred thirty-one thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 7951 15902 23853 47706 71559 143118 63218401 126436802 189655203 379310406 568965609 1137931218